Question

Question was provided via image upload.

Explanation:

Step1: Find common denominator

To divide fractions, first make denominators equal. $\frac{1}{2}=\frac{2}{4}$, so $\frac{1}{2}\div\frac{1}{4}=\frac{2}{4}\div\frac{1}{4}$.

Step2: Multiply numerator/denominator by 4

Multiply numerator and denominator of $\frac{2}{4}\div\frac{1}{4}$ by 4 to eliminate denominators: $(\frac{2}{4}\times4)\div(\frac{1}{4}\times4)=2\div1$.

Step3: Calculate the quotient

$2\div1 = 2$.

Answer:

$\frac{1}{2}\div\frac{1}{4}=\frac{2}{4}\div\boldsymbol{\frac{1}{4}} = 2\div\boldsymbol{1} = \boldsymbol{2}$